Does PIE=Infinite since the decimals of PIE goes on forever?

2017-10-05 5:20 am

回答 (7)

2017-10-05 5:25 am
π ≠ ∞
The decimals of 0.333... go on forever, but 0.333... = ⅓, not ∞.
2017-10-05 6:12 am
3.14 < π < 3.15

π is not infinite. Yes, it is an infinite sum, but it converges. Each successive digit makes a smaller contribution to the whole than the digit before, as is characteristic of the place-value number system we use.

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“Pi” is the name of the 16th letter of the Greek alphabet (π) that we use to represent the ratio of circumference to diameter. “Pie” is a pastry that has nothing to do with math, generally, except to offer a nice visual representation of fractions when it is cut into uniform slices.
2017-10-05 6:07 am
 
NO. PIE = Yummy dessert.

PI = finite value = ratio of a circle's circumference and diameter

Just because π (spelled pi) goes on forever, does NOT mean that it is equal to infinity.
2017-10-05 5:39 am
No. The number of digits in decimal version of 1/7 also goes on forever.
2017-10-05 5:29 am
Yes. Pi = 3.14159... = 3 + 0.1 + 0.04 + 0.001 + 0.0005 + 0.00009 + ...

But Pi is not unique in this respect. Any infinite string of decimal digits represents a real number in exactly this way. On can define the set of real numbers as the set of all such infinite strings of decimals.
2017-10-05 5:26 am
Pie is finite number; a good numerical approximation is 3.14159
2017-10-05 5:22 am
Pie doesn't have a finite numeric value, but it still equals a number.


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